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- Gravitational anomaly and topological phases

Since the quantum Hall effect, the notion of topological

phases of matter has been extended to those that are well-defined (or:

``protected'') in the presence of a certain set of

symmetries, and that exist in dimensions higher than two. In the (fractional)

quantum Hall effects (and in ``chiral'' topological phases in general),

Laughlin's thought experiment provides a key insight into their topological

characterization; it shows a close connection between topological phases and

quantum anomalies.

By taking various examples, I will demonstrate that

quantum anomalies serve as a useful tool to diagnose (and even define)

topological properties of the systems.

For chiral topological phases in (2+1) dimensions and

(3+1) dimensional topological superconductors, I will discuss topological

responses of the system which involve a cross correlation between thermal

transport, angular momentum, and entropy. We also argue that gravitational

anomaly is useful to study symmetry protected topological phases in (2+1)

dimensions.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Thursday, February 28, 2013 - 13:00 to 14:30

Location:

Bob Room

Room #:

405

©2012 Perimeter Institute for Theoretical Physics